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2 years ago

15

There are 90 girls and 60 boys in the 6th grade at a middle school. Of these students, 9 girls and 3 boys write left-headed. Wha

t percentage of the 6th graders at this middle school write left handed

1 answer:

natta225 [31]2 years ago

6 0

Answer:

8%

Step-by-step explanation:

9+3=12 (total number of students that write left handed)

90+60=150 (total number of 6th graders)

12/150 x 100% = 8%

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lyudmila [28]

Answer:

x= 1, 4

Step-by-step explanation:

$log_{x+2} (9x) =2\\\\9x = (x+2)^2 \\\\(x+2)^2 - 9x = 0\\\\x^2 +4x + 4-9x = 0\\\\x^2 - 5x +4= 0\\\\x^2 - 4x-x+4=0\\\\x(x-4)-1(x-4)=0\\\\(x-4)(x-1)=0\\\\x-4 =0\: or\: x - 1=0\\\\x = 4\: or\: x = 1\\\\x = 1,\: 4$

4 0

3 years ago

21. Tom buys a DVD player on 12 monthly payments. The cash price is $600. He pays

slamgirl [31]

Answer:

Each monthly payment is $ 49.05, and in total Tom paid $ 648.60.

Step-by-step explanation:

Given that Tom buys a DVD player on 12 monthly payments, whose cash price is $ 600, and he pays a 10% deposit and the store charges 9% interest, to determine how much is each payment and the total amount Tom pays for the DVD player the following calculations must be performed:

600 - 600 x 0.1 = 540

540 x 1.09 = 588.6

588.6 / 12 = 49.05

Thus, each monthly payment is $ 49.05, and in total Tom paid $ 648.60.

8 0

3 years ago

What is the simplified form of 2/x^2-x - 1/x?

Pachacha [2.7K]

Answer: $\bold{(C)\ \dfrac{3 - x}{x(x-1)}}$

<u>Step-by-step explanation:</u>

$\dfrac{2}{x^2-x}-\dfrac{1}{x}$

$=\dfrac{2}{x(x-1)}+\dfrac{-1}{x}$

$=\dfrac{2}{x(x-1)}+\dfrac{-1}{x}\bigg(\dfrac{x-1}{x-1}\bigg)$

$=\dfrac{2}{x(x-1)}+\dfrac{-x+1}{x(x-1)}$

$=\dfrac{2-x+1}{x(x-1)}$

$=\dfrac{3-x}{x(x-1)}$

8 0

4 years ago

Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t

baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of calculators coming out of the production lines have a defect.

This means that $p = 0.05$

Fifty calculators are randomly selected from the production line and tested for defects.

This means that $n = 50$

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611$

0.2611 = 26.11% probability that exactly 2 calculators are defective.

3 0

3 years ago

GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!<br> 5

adell [148]

AC=BD

64 units=10x+24

64-24=10x

40=10x

X=40 divided by 10= 4

hope it helps:)))

5 0

3 years ago

Read 2 more answers